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Characterization of the monotone polar of subdifferentials

Abstract : We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point. This provides a characterization of the monotone polar of subdifferentials of lower semicontinuous functions: it is a common subset of their graphs which depends only on the function.
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https://hal.archives-ouvertes.fr/hal-00842670
Contributor : Marc Lassonde <>
Submitted on : Tuesday, July 9, 2013 - 10:12:17 AM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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Marc Lassonde. Characterization of the monotone polar of subdifferentials. Optimization Letters, Springer Verlag, 2013, pp.1-4. ⟨10.1007/s11590-013-0693-7⟩. ⟨hal-00842670⟩

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